mr. vodka said:
Literally the same, as in for example a Newtonian world view: if the laws are deterministic, then a certain set of fixed initial conditions (this is of course very important; even the slightest change in initial conditions will lead to a dramatically different universe) will lead to exactly the same evolution.
The big bang was a result of an infinitely small particle exploding in all directions, forming the universe.
I have never taken a QM course, what I'm about to say is speculation, and I would like to hear your (anyone reading this) input.
Newtonian physics seems deterministic, and probably the reason for that is it's on a much bigger scale than the quantum level. If I were to stamp a piece of paper with the same stamp, it would make the same mark every time, it is deterministic because of it's properties.
However, QM and HUP say that things on a very small scale, such as electrons, are non deterministic. If this means that they are truly random, and not that we just can't describe it so we label it random, but truly random, then I believe if the universe was reset it would look much different.
Because the big bang resulted from a very very small particle, and QM and HUP says that very small things act very strangely, and randomly. So the slightest change, and the slightest chance of the tiny particle being different or random would result in a different explosion resulting in a different universe.
Assuming this is correct, then what is the chance of the universe being exactly the same?
Well, if you have a red object and blue object in a bag, there is 1/2 chance of picking one of them. If you have a very small particle, what are the chances of it being in one spot rather than another? Well 3D space is infinite, the particle can be at point (1,1,1) or point (1,1,0.999999999999999999999999). So if there are an infinite amount of possibilities for a particle, then 1/ infinity = 0, which I speculate would mean that there is a 0% chance of the universe being the same if it was reset.
Thoughts?